Question #f65288e8 - SAT Suite Question Bank

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Modded SAT Question Bank by Abdullah Mallik

$the fraction with numerator 1, and denominator x squared, plus 10 x, plus 25, end fraction, equals 4$

If x is a solution to the given equation, which of the following is a possible value of $x plus 5$ ?

$one half$
$five halves$
$nine halves$
$eleven halves$

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Correct Answer: A

Rationale

Choice A is correct. The given equation can be rewritten as $the fraction 1 over, open parenthesis, x plus 5, close parenthesis, squared, end fraction, equals 4$ . Multiplying both sides of this equation by $open parenthesis, x plus 5, close parenthesis, squared$ yields $1 equals, 4 times, open parenthesis, x plus 5, close parenthesis, squared$ . Dividing both sides of this equation by 4 yields $one fourth equals, open parenthesis, x plus 5, close parenthesis, squared$ . Taking the square root of both sides of this equation yields $one half equals, x plus 5$ or $negative one half equals, x plus 5$ . Therefore, a possible value of $x plus 5$ is $one half$ .
Choices B, C, and D are incorrect and may result from computational or conceptual errors.

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